Volume 479 - The 11th International Workshop on Chiral Dynamics (CD2024) - Working Group 3 parallel session: Few-Body Physics
Manifestly Lorentz invariant formulation of chiral effective field theory for neutrinoless double beta decay
Y. Yang* and P. Zhao
*: corresponding author
Full text: pdf
Pre-published on: March 26, 2025
Published on: —
Abstract
The neutrinoless double beta decay process of two neutrons, $nn\rightarrow ppee$, is studied in the manifestly Lorentz invariant formulation of chiral effective field theory.
Due to the better ultraviolet behavior of the relativistic scattering equation, the $nn\rightarrow ppee$ contact term is not needed for renormalization at leading order, in contrast to the nonrelativistic case.
The predicted $nn\rightarrow ppee$ amplitude is consistent with the previous result from the generalized Cottingham formula at 10% level.
The present approach is validated by reproducing the charge symmetry breaking and charge independence breaking in the nucleon-nucleon ($NN$) scattering length.
DOI: https://doi.org/10.22323/1.479.0110
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